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Top-down feedback in cortex is critical for guiding sensory processing, which has prominently been formalized in the theory of hierarchical predictive coding (hPC). However, experimental evidence for error units, which are central to the…

Neurons and Cognition · Quantitative Biology 2022-11-23 Fabian A. Mikulasch , Lucas Rudelt , Michael Wibral , Viola Priesemann

Backpropagation through time (BPTT) is the de facto standard for training recurrent neural networks (RNNs), but it is non-causal and non-local. Real-time recurrent learning is a causal alternative, but it is highly inefficient. Recently,…

Machine Learning · Computer Science 2024-10-10 Guillermo Martín-Sánchez , Sander Bohté , Sebastian Otte

Over the past decade, Deep Convolutional Neural Networks (DCNNs) have shown remarkable performance in most computer vision tasks. These tasks traditionally use a fixed dataset, and the model, once trained, is deployed as is. Adding new…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Deboleena Roy , Priyadarshini Panda , Kaushik Roy

While deep neural networks take loose inspiration from neuroscience, it is an open question how seriously to take the analogies between artificial deep networks and biological neuronal systems. Interestingly, recent work has shown that deep…

Neurons and Cognition · Quantitative Biology 2018-05-31 William Lotter , Gabriel Kreiman , David Cox

Deep Neural Networks (DNNs) are typically trained by backpropagation in a batch learning setting, which requires the entire training data to be made available prior to the learning task. This is not scalable for many real-world scenarios…

Machine Learning · Computer Science 2017-11-13 Doyen Sahoo , Quang Pham , Jing Lu , Steven C. H. Hoi

Training neural networks to perform different tasks is relevant across various disciplines. In particular, Recurrent Neural Networks (RNNs) are of great interest in Computational Neuroscience. Open-source frameworks dedicated to Machine…

Machine Learning · Computer Science 2023-08-01 Cecilia Jarne

Training directed neural networks typically requires forward-propagating data through a computation graph, followed by backpropagating error signal, to produce weight updates. All layers, or more generally, modules, of the network are…

The Hopfield recurrent neural network is a classical auto-associative model of memory, in which collections of symmetrically-coupled McCulloch-Pitts neurons interact to perform emergent computation. Although previous researchers have…

Adaptation and Self-Organizing Systems · Physics 2015-06-09 Christopher Hillar , Ngoc M. Tran

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Recurrent neural networks (RNNs) have recently been extensively applied to model the time-evolution in fluid dynamics, weather predictions, and even chaotic systems thanks to their ability to capture temporal dependencies and sequential…

Quantum Physics · Physics 2026-01-21 Alex P. Ning , Lingyu Yang , Gia-Wei Chern

Recent vision and multimodal foundation backbones, such as Transformer families and state-space models like Mamba, have achieved remarkable progress, enabling unified modeling across images, text, and beyond. Despite their empirical…

Artificial neural networks are most commonly trained with the back-propagation algorithm, where the gradient for learning is provided by back-propagating the error, layer by layer, from the output layer to the hidden layers. A recently…

Machine Learning · Statistics 2016-12-22 Arild Nøkland

Graph Convolutional Neural Network (GCNN) is a popular class of deep learning (DL) models in material science to predict material properties from the graph representation of molecular structures. Training an accurate and comprehensive GCNN…

Machine Learning · Computer Science 2022-07-26 Jong Youl Choi , Pei Zhang , Kshitij Mehta , Andrew Blanchard , Massimiliano Lupo Pasini

Predictive coding is an influential theory of cortical function which posits that the principal computation the brain performs, which underlies both perception and learning, is the minimization of prediction errors. While motivated by…

Neurons and Cognition · Quantitative Biology 2020-10-13 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher L Buckley

Spiking neural networks play an important role in brain-like neuromorphic computations and in studying working mechanisms of neural circuits. One drawback of training a large scale spiking neural network is that updating all weights is…

Neurons and Cognition · Quantitative Biology 2024-08-15 Zhanghan Lin , Haiping Huang

Recurrent networks are typically trained with backpropagation through time (BPTT). However, BPTT requires storing the history of all states in the network and then replaying them sequentially backwards in time. This computation appears…

Machine Learning · Computer Science 2026-01-01 Beren Millidge

Recently, methods have been developed to accurately predict the testing performance of a Deep Neural Network (DNN) on a particular task, given statistics of its underlying topological structure. However, further leveraging this newly found…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Stuart Synakowski , Fabian Benitez-Quiroz , Aleix M. Martinez

Traditional predictive coding networks, inspired by theories of brain function, consistently achieve promising results across various domains, extending their influence into the field of computer vision. However, the performance of the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 A S M Sharifuzzaman Sagar , Yu Chen , Jun Hoong Chan

A large number of current machine learning methods rely upon deep neural networks. Yet, viewing neural networks as nonlinear dynamical systems, it becomes quickly apparent that mathematically rigorously establishing certain patterns…

Dynamical Systems · Mathematics 2023-09-12 Christian Kuehn , Elena Queirolo

This paper proposes a novel approach for speech signal prediction based on a recurrent neural network (RNN). Unlike existing RNN-based predictors, which operate on parametric features and are trained offline on a large collection of such…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-17 Reza Lotfidereshgi , Philippe Gournay